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Finding the Fourth Proportional to 320,774.50, 442,785.45 and 186,638.50

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Solution

The fourth proportional to 320,774.50, 442,785.45 and 186,638.50 is: 257,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,774.50 : 442,785.45 = 186,638.50 : x
  2. Step 2: Convert to fraction form
    320,774.50/442,785.45 = 186,638.50/x
  3. Step 3: Cross multiply
    320,774.50x = 442,785.45 × 186,638.50
  4. Step 4: Simplify right side
    320,774.50x = 82,640,812,209.83
  5. Step 5: Solve for x
    x = 82,640,812,209.83/320,774.50
  6. Step 6: Final answer
    x = 257,629.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.